Q: What are the prime factors of the number 88,003,200?

 A: 2, 3, 5, 89, 103

Why are those the prime factors of the number 88,003,200?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 88,003,200

88,003,200
Factor Arrows
244,001,600
Factor Arrows
222,000,800
Factor Arrows
211,000,400
Factor Arrows
25,500,200
Factor Arrows
22,750,100
Factor Arrows
21,375,050
Factor Arrows
2687,525
Factor Arrows
3229,175
Factor Arrows
545,835
Factor Arrows
59,167
Factor Arrows
89103

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 5, 89, 103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 89 x 103 = 88,003,200

This can also be written as 27 x 31 x 52 x 891 x 1031 = 88,003,200

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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